4 papers
Quantum scattering of droplets by wells and barriers in one-dimensional Bose-Bose mixtures
Sherzod R. Otajonov, Uktambek R. Eshimbetov, Bakhram A. Umarov +1
We investigate, both analytically and numerically, the scattering of quasi-one-dimensional quantum droplets from Pöschl-Teller potential wells and barriers. For attractive wells, w…
Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev
The dynamics of a two-dimensional Bose-Einstein condensate mixture, loaded into a dual-core trap, when beyond-mean-field effects are taken into account, are considered. The effects…
Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Co…
Beyond mean-field effects in Josephson oscillations and self-trapping of Bose-Einstein condensates in two-dimensional dual-core traps
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev, Akbar Shermaxmatov
We study a binary Bose gas in a symmetric dual-core, pancake-shaped trap, modelled by two linearly coupled two-dimensional Gross-Pitaevskii equations with Lee-Huang-Yang correction…